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Finding the Fourth Proportional to 14,364.68, 19,822.52 and 8,077.05

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Solution

The fourth proportional to 14,364.68, 19,822.52 and 8,077.05 is: 11,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.68 : 19,822.52 = 8,077.05 : x
  2. Step 2: Convert to fraction form
    14,364.68/19,822.52 = 8,077.05/x
  3. Step 3: Cross multiply
    14,364.68x = 19,822.52 × 8,077.05
  4. Step 4: Simplify right side
    14,364.68x = 160,107,505.36
  5. Step 5: Solve for x
    x = 160,107,505.36/14,364.68
  6. Step 6: Final answer
    x = 11,145.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.